Whakaoti i te 23/7--11/21+-7/14--7/28=

$$\frac { 23 } { 7 } - \frac { - 11 } { 21 } + \frac { - 7 } { 14 } - \frac { - 7 } { 28 } =$$

Aromātai

$$\frac{299}{84}\approx 3.55952381$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-11}{21} te tuhi anō ko -\frac{11}{21} mā te tango i te tohu tōraro.

$$\frac{23}{7}-\left(-\frac{11}{21}\right)+\frac{-7}{14}-\frac{-7}{28}$$

Ko te tauaro o -\frac{11}{21} ko \frac{11}{21}.

$$\frac{23}{7}+\frac{11}{21}+\frac{-7}{14}-\frac{-7}{28}$$

Ko te maha noa iti rawa atu o 7 me 21 ko 21. Me tahuri \frac{23}{7} me \frac{11}{21} ki te hautau me te tautūnga 21.

$$\frac{69}{21}+\frac{11}{21}+\frac{-7}{14}-\frac{-7}{28}$$

Tā te mea he rite te tauraro o \frac{69}{21} me \frac{11}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{69+11}{21}+\frac{-7}{14}-\frac{-7}{28}$$

Tāpirihia te 69 ki te 11, ka 80.

$$\frac{80}{21}+\frac{-7}{14}-\frac{-7}{28}$$

Whakahekea te hautanga \frac{-7}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{80}{21}-\frac{1}{2}-\frac{-7}{28}$$

Ko te maha noa iti rawa atu o 21 me 2 ko 42. Me tahuri \frac{80}{21} me \frac{1}{2} ki te hautau me te tautūnga 42.

$$\frac{160}{42}-\frac{21}{42}-\frac{-7}{28}$$

Tā te mea he rite te tauraro o \frac{160}{42} me \frac{21}{42}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{160-21}{42}-\frac{-7}{28}$$

Tangohia te 21 i te 160, ka 139.

$$\frac{139}{42}-\frac{-7}{28}$$

Whakahekea te hautanga \frac{-7}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{139}{42}-\left(-\frac{1}{4}\right)$$

Ko te tauaro o -\frac{1}{4} ko \frac{1}{4}.

$$\frac{139}{42}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 42 me 4 ko 84. Me tahuri \frac{139}{42} me \frac{1}{4} ki te hautau me te tautūnga 84.

$$\frac{278}{84}+\frac{21}{84}$$

Tā te mea he rite te tauraro o \frac{278}{84} me \frac{21}{84}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{278+21}{84}$$

Tāpirihia te 278 ki te 21, ka 299.

$$\frac{299}{84}$$

Tauwehe

$$\frac{13 \cdot 23}{2 ^ {2} \cdot 3 \cdot 7} = 3\frac{47}{84} = 3.5595238095238093$$